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 Description  
 Counting Numbers:  The set of numbers 1, 2, 3, 4, ... Also called natural numbers.

There are many different ways we can classify numbers. In fact, many of the classifications are subsets of other classifications. For example, the set of counting/natural numbers differ from the set of whole numbers by excluding 0. Therefore, the set of counting/natural numbers is a subset of the set of whole numbers.

The following table gives depictions of how the classifications relate:

 Counting/Natural Numbers
 Whole Numbers  Integers  Rationals  Irrationals
 Examples
 1, 2, 3, 4,...
 0, 1, 2, 3, 4,...
 , -3, -2, -1, 0, 1, 2, 3, ...
 -1/4, 6/5, 0.125, -3.272727
 , 2.345678...
 What's new
 
 0
 Opposites of natural numbers
 Fractions, repeating and terminating decimals
 nonterminating, nonrepeating decimals

Together the rational and irrational numbers form a larger set of numbers called the Real Numbers.